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Fluctuation-dissipation and energy properties of a finite bath

A. Carcaterra*

A. Akay†

  • Department of Mechanical and Aerospace Engineering, University of Rome, La Sapienza, Via Eudossiana, 18, 00184, Rome, Italy

  • Department of Mechanical Engineering, Bilkent University, 06800 Bilkent, Ankara, Turkey

  • *a.carcaterra@dma.ing.uniroma1.it
  • †akay@bilkent.edu.tr
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Phys. Rev. E 93, 032142 – Published 25 March, 2016

DOI: https://doi.org/10.1103/PhysRevE.93.032142

Abstract

This paper expands a recent proposal by the authors to rederive the Langevin equation for a test particle in a finite-size thermal bath using a perturbation approach that yields a cascade of Langevin-type equations. Such an approach produces a different viewpoint for the fluctuation-dissipation duality by expressing them on similar scales. General properties of energy sharing between the test particle and the bath are outlined, investigating the resonant and nonresonant conditions.

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Phys. Rev. E 93, 032142– Published 25 March, 2016
  • Received 24 April 2015

©2016 American Physical Society

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